What is the Least Common Multiple of 64065 and 64071?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 64065 and 64071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64065 and 64071, than apply into the LCM equation.

GCF(64065,64071) = 3
LCM(64065,64071) = ( 64065 × 64071) / 3
LCM(64065,64071) = 4104708615 / 3
LCM(64065,64071) = 1368236205

Least Common Multiple (LCM) of 64065 and 64071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64065 and 64071. First we will calculate the prime factors of 64065 and 64071.

Prime Factorization of 64065

Prime Factorization of 64071

Now multiplying the highest exponent prime factors to calculate the LCM of 64065 and 64071.

LCM(64065,64071) = 3⁴ × 5¹ × 4271¹ × 7¹ × 113¹
LCM(64065,64071) = 1368236205